Vector Analysis Course
This course equips you with vector analysis tools for duct and pipe flows in cylindrical coordinates. Learn divergence, gradient, curl applications, integrals, theorems for conservation, heat transport analysis, and model validation using units, laws, and Reynolds numbers. Ideal for engineering contexts.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain practical skills in vector analysis for duct flows using cylindrical coordinates. Master vector fields, divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems. Analyse heat transport, energy advection, and ensure physical realism with parameters and nondimensional numbers.
Elevify advantages
Develop skills
- Apply divergence, gradient, curl confidently in cylindrical coordinates.
- Employ Stokes’ and divergence theorems for conservation in duct flows.
- Evaluate line and surface integrals for flux, circulation, temperature.
- Analyse heat transport with v·grad T and duct temperature gradients.
- Conduct dimensional analysis and Reynolds estimates for pipe flows.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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